6. A firm's demand function for a certain good is given by P = 100e0.10 . Its total cost function is TC =100e0.10 What output level maximizes the firm's profit? +50. %3D 7. An individual's utility function is given by U =1000x, +450 x, +5x,x, -2x -x | where x, is the amount of leisure measured in hours per week and x, is income earned measured in cedis per week. Determine the value of the marginal utilities, when x, = 138 and x, = 500. Hence estimate the change in utility if the individual works for an extra hour, which increases earned income by GH¢15 per week. Does the law of diminishing utility hold for this function?

6. A firm's demand function for a certain good is given by P = 100e0.10 . Its total cost function is TC =100e0.10 What output level maximizes the firm's profit? +50. %3D 7. An individual's utility function is given by U =1000x, +450 x, +5x,x, -2x -x | where x, is the amount of leisure measured in hours per week and x, is income earned measured in cedis per week. Determine the value of the marginal utilities, when x, = 138 and x, = 500. Hence estimate the change in utility if the individual works for an extra hour, which increases earned income by GH¢15 per week. Does the law of diminishing utility hold for this function?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

6. A firm's demand function for a certain good is given by
-0.10
Р 3100е
Its total cost function is TC =100e0.10 +50.
What output level maximizes the firm's profit?
7. An individual's utility function is given by
U =1000x, +450x, +5x,x, -2x - x
where
is the amount of leisure measured in hours per
week and x, is income earned measured in cedis per week.
Determine the value of the marginal utilities, when x, = 138
and x, = 500. Hence estimate the change in utility if the
individual works for an extra hour, which increases earned
income by GH¢15 per week. Does the law of diminishing
utility hold for this function?

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